(** * Postscript *) (** Congratulations: We've made it to the end of _Logical Foundations_! *) (* ################################################################# *) (** * Looking Back *) (** We've covered quite a bit of ground so far. Here's a quick review... - _Functional programming_: - "declarative" programming style (recursion over immutable data structures, rather than looping over mutable arrays or pointer structures) - higher-order functions - polymorphism *) (** - _Logic_, the mathematical basis for software engineering: logic calculus -------------------- ~ ---------------------------- software engineering mechanical/civil engineering - inductively defined sets and relations - inductive proofs - proof objects *) (** - _Rocq_, an industrial-strength proof assistant - functional core language - core tactics - automation *) (* ################################################################# *) (** * Looking Forward *) (** If what you've seen so far has whetted your interest, you have several choices for further reading in later volumes of the _Software Foundations_ series. Some of these are intended to be accessible to readers immediately after finishing _Logical Foundations_; others require a few chapters from Volume 2, _Programming Language Foundations_. The Preface chapter in each volume gives details about prerequisites. *) (* ################################################################# *) (** * Resources *) (** Here are some other good places to learn more... - This book includes some optional chapters covering topics that you may find useful. Take a look at the table of contents and the chapter dependency diagram to find them. - For questions about Rocq, the [#coq] area of Stack Overflow ({https://stackoverflow.com/questions/tagged/coq}) is an excellent community resource. - Here are some great books on functional programming - Learn You a Haskell for Great Good, by Miran Lipovaca [Lipovaca 2011] (in Bib.v). - Real World Haskell, by Bryan O'Sullivan, John Goerzen, and Don Stewart [O'Sullivan 2008] (in Bib.v) - ...and many other excellent books on Haskell, OCaml, Scheme, Racket, Scala, F sharp, etc., etc. - And some further resources for Rocq: - Certified Programming with Dependent Types, by Adam Chlipala [Chlipala 2013] (in Bib.v). - Interactive Theorem Proving and Program Development: Coq'Art: The Calculus of Inductive Constructions, by Yves Bertot and Pierre Casteran [Bertot 2004] (in Bib.v). - If you're interested in real-world applications of formal verification to critical software, see the Postscript chapter of _Programming Language Foundations_. - For applications of Rocq in building verified systems, the lectures and course materials for the 2017 DeepSpec Summer School are a great resource. {https://deepspec.org/event/dsss17/index.html} *) (* 2026-01-07 13:18 *)